Block Analysis for the Calculation of Dynamic and Static Length Scales in Glass-Forming Liquids

Saurish Chakrabarty, Indrajit Tah, Smarajit Karmakar, and Chandan Dasgupta
Phys. Rev. Lett. 119, 205502 – Published 16 November 2017
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Abstract

We present block analysis, an efficient method of performing finite-size scaling for obtaining the length scale of dynamic heterogeneity and the point-to-set length scale for generic glass-forming liquids. This method involves considering blocks of varying sizes embedded in a system of a fixed (large) size. The length scale associated with dynamic heterogeneity is obtained from a finite-size scaling analysis of the dependence of the four-point dynamic susceptibility on the block size. The block size dependence of the variance of the α relaxation time yields the static point-to-set length scale. The values of the obtained length scales agree quantitatively with those obtained from other conventional methods. This method provides an efficient experimental tool for studying the growth of length scales in systems such as colloidal glasses for which performing finite-size scaling by carrying out experiments for varying system sizes may not be feasible.

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  • Received 14 June 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.205502

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsPolymers & Soft MatterInterdisciplinary Physics

Authors & Affiliations

Saurish Chakrabarty1, Indrajit Tah2, Smarajit Karmakar2,*, and Chandan Dasgupta3,4,†

  • 1International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Shivakote, Hesaraghatta, Hubli, Bangalore, 560089, India
  • 2Centre for Interdisciplinary Sciences, Tata Institute of Fundamental Research, 21 Brundavan Colony, Narisingi, Hyderabad 500075, India
  • 3Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Science, Bangalore 560012, India
  • 4Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore 560064, India

  • *Corresponding author. smarajit@tifrh.res.in
  • cdgupta@iisc.ac.in

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Issue

Vol. 119, Iss. 20 — 17 November 2017

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